Abstract: An new parameter of moisture-temperature have been proposed in regard to dynamics and thermodynamics of atmosphere, and this is the wet static equilibrium or the static equilibrium temperature of a saturated air (Ts). It has close relationship with density temperature (Tρ), but it is more suitable for application compared with density temperature in terms of the wet air convection. It could be used to simplify the vertical motion equation of the cumulus one-dimensional time varying mode. Serve as the application example of Ts, A new uniform calculational expression of the convective available potential energy (CAPE) is derived, based on the example of the air parcel with water during its reversible saturation adiabatic ascending process and the air parcel without water during its pseudo-adiabatic ascending process. We have calculated the convective available potential energy (respectively written as the CAPEW and CAPE), convection inhibition energy, level of free convection, equilibrium level (respectively written as CINw and CIN, LFCw and LFC, ELw and EL). By the contrast analysis, it is found that they are very different from each other. Now the general universal formulas to calculate the convective available potential energy and the convection inhibition energy shows many defects, and it needs to have an improvement. The new uniform calculation expression suggested in this paper can be used for analysis of degree of stability and further understanding the concept itself.